The French defender, who was on loan at San Siro from Valencia last season, says he feels as though he has joined "a family" in Italy.
The 28-year-old joined Milan on loan in January following a falling-out with Valencia, and immediately became a regular at the heart of the defense during his six-month spell, making 18 appearances and scoring three times in Serie A.
He made the switch permanent in July, joining Milan coach Filippo Inzaghi's new regime for a reported fee of 4.25 million euros.
MORE: Coach Ted Lasso returns! | Porter challenges Guardiola | WAGs
Speaking to Calcio 2000, Rami claims he had no hesitation over returning to the "family" at San Siro.
"I had problems with Valencia and I heard that Milan were looking for a defender," said the Frenchman. "I didn't know about any other clubs that may have been interested. For me, I just wanted to sign for Milan – and that's what happened.
"[Philippe] Mexes helped me in the early days, but I have to say that everyone has been really helpful. I found more than just a team here – it's a family."
Milan plays Lazio at San Siro in their first Serie A fixture of 2014-15 on Aug. 31.